All categories

3 years ago

Find the exact value of each expression . Do not use a calculator .

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

The attached table is one that it is convenient for you to memorize as long as you're taking courses involving angles. For the inverse functions, find the column corresponding to the function, then look for the value in that column. The angle at the beginning of that row is the answer to your question.

8. $\cos^{-1}(0)= 90^{\circ}=\dfrac{\pi}{2}$

9. $\sin^{-1}(1)= 90^{\circ}=\dfrac{\pi}{2}$

10. $\tan^{-1}\left( \dfrac{\sqrt{3}}{3} \right)=30^{\circ}=\dfrac{\pi}{6}$

You might be interested in

What is the product? x^2-16/2x+8 multiplied by x^3-2x^2+x/x^2+3x-4

Contact [7]

Answer:

(x (x - 4) (x - 1))/(2 (x + 4))

Step-by-step explanation:

Simplify the following:

((x^2 - 16) (x^3 - 2 x^2 + x))/((2 x + 8) (x^2 + 3 x - 4))

The factors of -4 that sum to 3 are 4 and -1. So, x^2 + 3 x - 4 = (x + 4) (x - 1):

((x^2 - 16) (x^3 - 2 x^2 + x))/((x + 4) (x - 1) (2 x + 8))

Factor 2 out of 2 x + 8:

((x^2 - 16) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

x^2 - 16 = x^2 - 4^2:

((x^2 - 4^2) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

((x - 4) (x + 4) (x^3 - 2 x^2 + x))/(2 (x + 4) (x + 4) (x - 1))

Factor x out of x^3 - 2 x^2 + x:

(x (x^2 - 2 x + 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

The factors of 1 that sum to -2 are -1 and -1. So, x^2 - 2 x + 1 = (x - 1) (x - 1):

(x (x - 1) (x - 1) (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

(x - 1) (x - 1) = (x - 1)^2:

(x (x - 1)^2 (x - 4) (x + 4))/(2 (x + 4) (x + 4) (x - 1))

((x - 4) (x + 4) x (x - 1)^2)/(2 (x + 4) (x + 4) (x - 1)) = (x + 4)/(x + 4)×((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)):

(x (x - 4) (x - 1)^2)/(2 (x + 4) (x - 1))

Cancel terms. ((x - 4) x (x - 1)^2)/(2 (x + 4) (x - 1)) = ((x - 4) x (x - 1)^(2 - 1))/(2 (x + 4)):

(x (x - 4) (x - 1)^(2 - 1))/(2 (x + 4))

2 - 1 = 1:

Answer: (x (x - 4) (x - 1))/(2 (x + 4))

5 0

3 years ago

Read 2 more answers

How do i write 3.6 in word form

Oduvanchick [21]

Three and six tenths. The decimal point is always expressed as "and." the digit after the decimal point is always expressed by tenths.

7 0

3 years ago

Read 2 more answers

Dreakfast cereal will cost. C TOw any learners can a school enrol if there are 12 teachere ratio of learners to teachers is 30:1

rodikova [14]

Answer:

20 teachers

Step-by-step explanation:

plato ofc

7 0

2 years ago

Heather Johnson bought a new set of tires for $436.00 and a car seat for $22.85. The state tax rate is 6%, the county tax rate i

Papessa [141]

Answer:

$495.56

Step-by-step explanation:

Tax increases the price paid for a good or service. So, the total price paid for the goods would increase by the total amount of tax

Sum of the three taxes = 6% + 1.5% + 0.5% = 8%

Total cost of items purchased = $436 + $22.85 = $485.85

Total purchase price = Total cost of items purchased x (1 + total tax)

$485.85 x (1.08) = $495.56

5 0

3 years ago

What's the surface area?<br><br>(EXPLAIN YOUR ANSWER)

dedylja [7]

714,110ft

Hope this helpsss

6 0

3 years ago